Research Journal of Applied Sciences

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An Improved Error Estimation of the Tau Method for Boundary Value Problems in Ordinary Differential Equations

R.B. Adeniyi
Page: 456-464 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

We constructed a polynomial error approximant of the error function e_n(x) of the Lanczos Tau method for ordinary differential equations, based on the error of the Lanczos economization process. In the present research, we modify this approximant for boundary value problems in ordinary differential equations by perturbing some of the homogenous condition of e_n(x) and show that the new approximant, thus obtained, yields a more accurate estimate of the maximum error. Numerical results further confirm that the order of the Tau approximant is also accurately estimated.

How to cite this article:

R.B. Adeniyi . An Improved Error Estimation of the Tau Method for Boundary Value Problems in Ordinary Differential Equations.
DOI: https://doi.org/10.36478/rjasci.2008.456.464
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2008.456.464